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In Country C, the unemployment rate among construction worke [#permalink]

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12 Dec 2012, 04:55

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In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Re: In Country C, the unemployment rate among construction worke [#permalink]

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24 Sep 2013, 06:37

From 92 - 96 -> 20% inc in # construction workers From 92 - 96 -> 7% dec in unemployment -> +7% to # of construction workers 20% + 7% = 27% -> (B -> 30%)

Re: In Country C, the unemployment rate among construction worke [#permalink]

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29 Nov 2013, 17:19

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Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Since the problem is percentage related, I just assumed the total number of workers in 1992 was 100. => total unemployed in 92 = 16 There was a 20% increase in the number of workers between 92 and 96 => Total workers in 96 = 100 + 100(20/100) = 120. There was a change of 9% in the unemployment rate from 92 to 96. => Total unemployed in 96 = 120 * 9/100 = 11 (approximately)

Now the actual question - change in the unemployed construction workers => (unemployed in 92 - unemployed in 96) / unemployed in 92 => (16-11)/16 * 100 = -30 approximately. => 30% decrease.

Re: In Country C, the unemployment rate among construction worke [#permalink]

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30 Apr 2014, 19:52

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Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

This problem is a prime candidate for picking numbers. Since the question is dealing with percents I decided to go use 100. Once you pick easy to work with numbers just pick apart the questions slowly

Unemployment rate 1992 was 16% ---> I'm starting with 100 workers therefore 16 are unemployed

In 1996 the number of workers increased 20% ---> there are now 120 workers. ---> 9% unemployed would equal to 10.8% (the question uses the word approximately which told me I'm definitely rounding some numbers) so 11%

Percent change formula [Difference][/Original] X 100 = [5][/16] X 100 = ~30%

OG question...Can anyone help me with the alternate solution [#permalink]

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12 Jul 2014, 22:49

In CountryC, the unemployment rate among construction workers dropped from 16 percent on September 1,1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1,1996, than on September 1,1992, what was the approximate percent change in the number of unemployed construction workers over this period? (A) 50% decrease (B) 30% decrease (C) 15% decrease (D) 30% increase (E) 55% increase

In OG explanation is given but its too much time consuming and confusing for me. Anyone has tried any other way ??? Or anyone has tried to solve this question with pick number strategy...I tried but I am not getting correct answer.

Re: OG question...Can anyone help me with the alternate solution [#permalink]

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13 Jul 2014, 00:06

GGMAT760 wrote:

In CountryC, the unemployment rate among construction workers dropped from 16 percent on September 1,1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1,1996, than on September 1,1992, what was the approximate percent change in the number of unemployed construction workers over this period? (A) 50% decrease (B) 30% decrease (C) 15% decrease (D) 30% increase (E) 55% increase

In OG explanation is given but its too much time consuming and confusing for me. Anyone has tried any other way ??? Or anyone has tried to solve this question with pick number strategy...I tried but I am not getting correct answer.

Please explain

Thanks in advance.

1992 1996 No of construction workers 100 120 Unemployment Rate 16% 9% Unemployed workers 16 11

% change in unemployed workers=(16-11)=5/16=~33% decrease Closest ans=30% decrease Ans=B

Re: In Country C, the unemployment rate among construction worke [#permalink]

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11 Sep 2014, 11:57

Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Yes, you can do it using the successive percentage change concept too.

Number of unemployed construction workers = Number of Construction Workers * Unemployment rate

If there is a change in the number of construction workers and unemployment rate, we can find the change in the number of unemployed construction workers.

Number of construction workers is 20% greater i.e. 6/5 of previous value Unemployment rate reduces from 16 to 9 i.e. becomes 9/16 of previous value

Multiplier for number of unemployed construction workers = 6/5 * 9/16 = 27/40

This is a reduction of 13/40 which is a little more than 30%.

Re: In Country C, the unemployment rate among construction worke [#permalink]

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14 Dec 2015, 19:51

solved it the way bunuel explained. 92 - 1000 workers, 160 unemployed. 96 - 1200 workers, 108 unemployed. we can see the number decreased. we can eliminate the answer choices that say "increase". moreover, if you think logically, 52 is not 50% of 160, thus we can eliminate it. Moreover, 16=10% and 8 = 5%. decrease of 15% should be 24 workers, which again not works. thus, the only option that is possible - 30%

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

We are given two pieces of information that can be translated into equations. However, before we make those equations let’s set up some variables as well to display some of the information provided.

16% = unemployment rate on September 1, 1992

9% = unemployment rate on September 1, 1996

c = number of construction workers on September 1, 1992

d = number of construction workers on September 1, 1996

Thus, we know:

0.16 × c = number of unemployed construction workers on September 1, 1992

0.09 × d = number of unemployed construction workers on September 1, 1996

We are asked to determine the approximate percent change in the number of unemployed construction workers over this period.

The formula for percent change is:

[(New Value – Old Value)/(Old Value)] x 100

Using our variables above, the percent change formula will be:

(0.09d – 0.16c)/(0.16c) × 100

In order to solve this formula we need to create an equation. We are given that the number of construction workers was 20% greater on September 1, 1996 than on September 1, 1992. Thus, we can say:

d = c + 0.2c = 1.2c

We can now substitute 1.2c for d in our percent change equation:

[(0.09 × 1.2c – 0.16c)/(0.16c)] × 100

[(0.108c – 0.16c)/(0.16c)] × 100

[(108c – 160c)/(160c)] × 100

[(-52c)/(160c)] × 100

(-13/40) × 100

Since we are asked to approximate we can change -13/40 to -13/39, which reduces to -1/3. We now have:

-1/3 × 100 = -33.3%

The closest answer to this is B, a 30% decrease.

Because the answer choices are in percentage form, there is another way to solve this question: we can use convenient numbers. Let’s say the number of construction workers in 1992 is 100. We know, therefore, that the number of workers in 1996 is 1.2 × 100 = 120 workers.

We know that the unemployment rate among construction workers dropped from 16% on September 1, 1992 to 9% on September 1, 1996.

Thus we can say that the number of unemployed construction workers in 1992 is:

0.16 × 100 = 16

And the number of unemployed construction workers in 1996 is:

120 × 0.09 = 10.8 which is about 11.

We can now get the percent change:

[(New Value – Old Value)/(Old Value)] × 100

Using our values above the percent change formula will be:

[(11 – 16)/16] × 100

(–5/16) × 100

-5/16 is about -5/15, which reduces to -1/3. Again, -1/3 × 100 = -33.3%, which is closest to answer B.
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Re: In Country C, the unemployment rate among construction worke [#permalink]

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29 Jun 2016, 05:18

monkeya41 wrote:

From 92 - 96 -> 20% inc in # construction workers From 92 - 96 -> 7% dec in unemployment -> +7% to # of construction workers 20% + 7% = 27% -> (B -> 30%)

Re: In Country C, the unemployment rate among construction worke [#permalink]

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12 Aug 2016, 10:15

bimalr9 wrote:

monkeya41 wrote:

From 92 - 96 -> 20% inc in # construction workers From 92 - 96 -> 7% dec in unemployment -> +7% to # of construction workers 20% + 7% = 27% -> (B -> 30%)

Is the above reasoning correct?

This approach latches on the word 'approximate' in the question. First of all, there were more people working in 1996 (20% more than 1992). The % of unemployment in 1996 is lower than 1992 (only 9% compared 16% of 1992). So you have more people working and out of that smaller % unemployed. Meaning, definitely overall fewer people were unemployed in 1996 i.e. DECREASE.

Then, roughly speaking, 20% increase in workers + 7% change in unemployment is 27%. You have two choices closest to 27%. 30% increase or 30% decrease. We already know it is an overall decrease for sure. So it must be APPROXIMATELY 30% overall decrease.

A very neat and quick solution but more error prone if you can't quickly wrap your head around a bunch of numbers being thrown at you. I'd better stick with a number picking solution unless I am on a time crunch mode and I must guestimate a couple of questions.

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